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Volumn 202, Issue 1, 2008, Pages 1-23

Error-free algorithms to solve special and general discrete systems of linear equations

Author keywords

Error free deconvolution; Fermat transform; Hilbert system; Polynomial algebra; Round off errors; Toeplitz system; Vandermonde system; Volterra system

Indexed keywords

ALGEBRA; CONVOLUTION; EIGENVALUES AND EIGENFUNCTIONS; ERROR ANALYSIS; LINEAR SYSTEMS;

EID: 46749124299     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.10.010     Document Type: Review
Times cited : (3)

References (21)
  • 3
    • 0022677017 scopus 로고
    • Precise deconvolution using the Fermat number transform
    • Morháč M. Precise deconvolution using the Fermat number transform. Computer and Mathematics with Applications 12A (1986) 319-329
    • (1986) Computer and Mathematics with Applications , vol.12 A , pp. 319-329
    • Morháč, M.1
  • 4
    • 0027876067 scopus 로고
    • Error-free deconvolution based on cyclic determinant calculation approach
    • Morháč M. Error-free deconvolution based on cyclic determinant calculation approach. Computer Mathematics 49 (1993) 41-51
    • (1993) Computer Mathematics , vol.49 , pp. 41-51
    • Morháč, M.1
  • 5
    • 0024924167 scopus 로고
    • k-Dimensional error-free deconvolution using the Fermat number transform
    • Morháč M. k-Dimensional error-free deconvolution using the Fermat number transform. Computers and Mathematics with Applications 18 (1989) 1023-1032
    • (1989) Computers and Mathematics with Applications , vol.18 , pp. 1023-1032
    • Morháč, M.1
  • 6
    • 25544470920 scopus 로고
    • Precise multidimensional deconvolution using the polynomial algebra concept
    • Morháč M. Precise multidimensional deconvolution using the polynomial algebra concept. International Journal of Computer Mathematics 32 (1990) 13-26
    • (1990) International Journal of Computer Mathematics , vol.32 , pp. 13-26
    • Morháč, M.1
  • 7
    • 14844362887 scopus 로고    scopus 로고
    • Exact algorithm of multidimensional circulant deconvolution
    • Morháč M., and Matoušek V. Exact algorithm of multidimensional circulant deconvolution. Applied Mathematics and Computation 164 (2005) 155-166
    • (2005) Applied Mathematics and Computation , vol.164 , pp. 155-166
    • Morháč, M.1    Matoušek, V.2
  • 8
    • 0008783593 scopus 로고
    • An error-free Levinson algorithm to solve integer Toeplitz system
    • Morháč M. An error-free Levinson algorithm to solve integer Toeplitz system. Applied Mathematics and Computation 61 (1994) 135-149
    • (1994) Applied Mathematics and Computation , vol.61 , pp. 135-149
    • Morháč, M.1
  • 11
    • 0345903732 scopus 로고
    • An algorithm to solve Hilbert systems of linear equations precisely
    • Morháč M. An algorithm to solve Hilbert systems of linear equations precisely. Applied Mathematics and Computation 73 (1995) 209-229
    • (1995) Applied Mathematics and Computation , vol.73 , pp. 209-229
    • Morháč, M.1
  • 12
    • 0348202233 scopus 로고    scopus 로고
    • An iterative error-free algorithm to solve Vandermonde systems
    • Morháč M. An iterative error-free algorithm to solve Vandermonde systems. Applied Mathematics and Computation 117 (2001) 45-54
    • (2001) Applied Mathematics and Computation , vol.117 , pp. 45-54
    • Morháč, M.1
  • 13
    • 0004161838 scopus 로고
    • Cambridge University Press, Cambridge
    • Press W.H., et al. Numerical Recipes (1986), Cambridge University Press, Cambridge
    • (1986) Numerical Recipes
    • Press, W.H.1
  • 14
    • 25544450868 scopus 로고
    • A modular system for solving linear equations exactly. I. Architecture and numerical algorithms
    • Morháč M., and Lórencz R. A modular system for solving linear equations exactly. I. Architecture and numerical algorithms. Computers and Artificial Intelligence 11 (1992) 351-361
    • (1992) Computers and Artificial Intelligence , vol.11 , pp. 351-361
    • Morháč, M.1    Lórencz, R.2
  • 15
    • 21144479105 scopus 로고
    • A modular system for solving linear equations exactly. II. Hardware realization
    • Lórencz R., and Morháč M. A modular system for solving linear equations exactly. II. Hardware realization. Computers and Artificial Intelligence 11 (1992) 497-507
    • (1992) Computers and Artificial Intelligence , vol.11 , pp. 497-507
    • Lórencz, R.1    Morháč, M.2
  • 17
    • 14844362640 scopus 로고
    • One-modulus residue arithmetic algorithm to solve linear equations exactly
    • Morháč M. One-modulus residue arithmetic algorithm to solve linear equations exactly. Mathematical and Computer Modelling 19 (1994) 95-105
    • (1994) Mathematical and Computer Modelling , vol.19 , pp. 95-105
    • Morháč, M.1
  • 18
    • 38149146783 scopus 로고
    • An error-free algorithm to solve linear system of polynomial equations
    • Morháč M. An error-free algorithm to solve linear system of polynomial equations. Mathematical and Computer Modelling 19 (1994) 85-93
    • (1994) Mathematical and Computer Modelling , vol.19 , pp. 85-93
    • Morháč, M.1
  • 19
    • 45149140280 scopus 로고
    • Fast error-free algorithm for the determination of kernels of the periodical Volterra representation
    • Morháč M. Fast error-free algorithm for the determination of kernels of the periodical Volterra representation. Applied Mathematics and Computation 38 (1990) 87-101
    • (1990) Applied Mathematics and Computation , vol.38 , pp. 87-101
    • Morháč, M.1
  • 20
    • 0026237439 scopus 로고
    • A fast algorithm of nonlinear Volterra filtering
    • Morháč M. A fast algorithm of nonlinear Volterra filtering. IEEE Transactions on Signal Processing 39 (1991) 2353-2356
    • (1991) IEEE Transactions on Signal Processing , vol.39 , pp. 2353-2356
    • Morháč, M.1
  • 21
    • 13444274964 scopus 로고
    • Determination of inverse Volterra kernels in nonlinear discrete systems
    • Morháč M. Determination of inverse Volterra kernels in nonlinear discrete systems. Nonlinear Analysis, Theory Methods & Applications 15 (1990) 269-281
    • (1990) Nonlinear Analysis, Theory Methods & Applications , vol.15 , pp. 269-281
    • Morháč, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.